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120022222101120 = 27325109191166893
BaseRepresentation
bin11011010010100011011001…
…111010011101101010000000
3120201222000100000120201212200
4123102203121322131222000
5111212421002324213440
61103133240405353200
734165214360010033
oct3322433172355200
9521860300521780
10120022222101120
1135274158448739
121156513b408800
1351c807c2a3831
14218d16c50701a
15dd20c0506c30
hex6d28d9e9da80

120022222101120 has 192 divisors, whose sum is σ = 418254047382600. Its totient is φ = 31712293380096.

The previous prime is 120022222101077. The next prime is 120022222101139. The reversal of 120022222101120 is 21101222220021.

It is a happy number.

120022222101120 is a `hidden beast` number, since 1 + 200 + 2 + 222 + 210 + 11 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96081242826816 + 23940979274304 = 9802104^2 + 4892952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120022222101093 and 120022222101102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94955607 + ... + 96211286.

Almost surely, 2120022222101120 is an apocalyptic number.

120022222101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022222101120 is an abundant number, since it is smaller than the sum of its proper divisors (298231825281480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120022222101120 is a wasteful number, since it uses less digits than its factorization.

120022222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191167027 (or 191167012 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120022222101120 its reverse (21101222220021), we get a palindrome (141123444321141).

The spelling of 120022222101120 in words is "one hundred twenty trillion, twenty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".